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# Title: [Astronomiae Physicae & Geometricae Elementa] Astronomiæ Physicæ & Geometricæ Elementa (shelfmark Leibn. Marg. 124)
# Folio 221, page id 1040780814:0239
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Tib. III.
EE CFEOMEFRFOA H, L E M R N YA.
TErEIO REDCtatUT. FE ex locis sic inventis d tempore interjecto
xstimabitur Tempus ipsius Aquinoctii.
In hoc Problemate et hujusmodi obserrationes Solis corrigendae
TUnE (UE SeIPCT) per Parallaxin ex Retractionem congruam, reliqua
que carenda qua calculum incertum redderent; v. 8. Obserratio.
nes binx ad casdem partes Temporis definiendi; sed potius dux ob
serrationes seligenda erunt, quarum altera Aequinoctium praecedit,
altera sequitur.
PROPOSITIOXI
Fimpus Solsticii ueriusvis determinare.
Ouoniam Tropicus tansit Eclipricam in puncto Solltitui; Pro-
Dici e Feliptica portionem exisuam prope Solstitium reteret sche.
maannexum; ubi YR es TropiCUS; F.C Feliptica illum in Solcitii
punctos continsens; e rectula al, al ad rnnormales reprasen
tabunt deriationes punctorum Leliptica
I a Tropico, sire Declinationis Corun.
dem mutationes: In quo casu rectula
ab, at Tunt (per PEOP. XXTV. L ib. T.) uF E
quadrata arcuum Si, si, vel hisce proxime aequalium scudrum Sd,
sa respectire. Inde Feliptica portio exigua prope Sollutium s
sensibiliter non abludet à Parabola ESC; figura nempo, cujus ea
CA proprietas, ut Sit a l ubique ut quadratum recta sd respcm.
RurTUS, arcuS SI, SI sunt ut tempora quibus illi à Sole describuntur.
nam quoniam Orbitx Flliptica, quam Sol ad sentum aCHCsIDIE,
ApCides prope Solstitialia puncta hoc tempore, haerent, Solis motus
apparens erit ibi aequabilis; hoc eA, arcus s, S ut tempora qui-
Dus doscribuntur. Fx quibus tandem conficitur Felipricae portio.
nem prove Solttitium (puta quam Sol decem plus minus dicbus
Dercurrit, quinque nempe ante Solstitium totidemque post) snime
discrepare a Parabola SIV, in qua abscista se, se lunt detecus C.
clinationis Solis quoris momento a Decli- Y d l d d
natione maxima: e consequenter harum
differentia PP, PP (unt ut ipsarum Decli
nationum differentia; hoc CA, ut inTer.
valla Altitudinum Solis supra Florizontem
(Vel distantiarum ejuldem à Vertice) in Meridiano vel alio quoris
verticali: _x ordinatim applicata et, et sunt respectire ut tem
pora quibus Sol praedictas Declinationes acquirit, harumque inter-
valla ut interralla illarum.
Hisce demonstratis, crisatur Cnomon aB, cujus umbra Facta à
Sole prope Solstitiorum alterutrum constituto et in planum cD (cui
fere perpendicularis est recta Br Solem ee Cinomonis verticem B
Connectens) excepta signat punetum H: F.F interjectis aliquot die
bus (V. 8. 3 aut 4.) obterretur rurtus punctum ubi apicis Bumbra
cadit, Sole eundem tenente verticalem; sitque illud F: AC postea
similis repecatur obserratio, ec punctum nocatum sic 9. P. dacis tri.
bus
La Lal